I would like to use the 32 kHz clock signal.The documentation states the following:

32KThe 32K pin is open-drain (needs a pullup resistor) and outputs a 32768 Hz clock signal. This can be enabled using the EN32kHz bit in the Status register (address 0x0F). This pin could be used as an accurate oscillator reference for some external device.

That looks about right, but I haven't tried it myself. Macetech (the designers of the Chronodot) come by these forums fairly regularly. But you might get a quicker answer if you contact them directly: http://www.macetech.com/